3885630533568 has 560 divisors, whose sum is σ = 13282682079744. Its totient is φ = 1100188293120.

The previous prime is 3885630533567. The next prime is 3885630533599. The reversal of 3885630533568 is 8653350365883.

3885630533568 is a `hidden beast` number, since 3 + 8 + 8 + 5 + 6 + 30 + 5 + 33 + 568 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3885630533567) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2551299655 + ... + 2551301177.

Almost surely, 2^{3885630533568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3885630533568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6641341039872).

3885630533568 is an abundant number, since it is smaller than the sum of its proper divisors (9397051546176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3885630533568 is a wasteful number, since it uses less digits than its factorization.

3885630533568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 186624000, while the sum is 63.

The spelling of 3885630533568 in words is "three trillion, eight hundred eighty-five billion, six hundred thirty million, five hundred thirty-three thousand, five hundred sixty-eight".